Hi, New Zealander here, Leafy is on to it! The 2nd of January is a public holiday here as is the 1st. New Year's Day is observed on the 1st of January. I guess the calendar was thrown by the extra day off?

We celebrate New Year's Eve and get New Year's Day off, but yes 2nd January is also a public holiday that we take off as well. It's not a special occasion or cultural event or anything just an extension of our New Years holidays. A day off work!

Thinking about this further... The only time New Year's Day would be 'observed' on the 2nd would be if New Year's Day fell on a Sunday. Then the New Year's Day holiday would be observed on Monday and we would get an extra holiday on Tuesday.... Apart from that most years the 2nd jan isn't New Year's Day being observed it's just a holiday! :-)